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Volume 1

MathematicsPortfolio

Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.

Algebra Problem

Air Conditioner ProblemType A

Suppose that your family is going to buy a new air conditioner. The GE brand costs $750 to buy and $30 a month to operate. A more expensive brand, Westinghouse, costs $925 to buy. However, it is more efficient and costs only $25 a month to operate.

1. Write equations in slope-intercept form to describe the cost of owning and operating each air conditioner based on the number of months owned.

2. Graph each equation to find the break-even point. Label your graph.

3. Find the break-even point using your system of two equations.

4. In how many years will the cost of the more expensive air conditioner save you money?

5. The average air conditioner lasts 12 years. Find the total cost of each air conditioner over a 12-year period and over a 20-year period.

6. Write a recommendation speech convincing the rest of your family members that one air conditioner is better than the other. How much could the family save if the air conditioner lasted 12 years? 20 years?


Algebra Problem

Bacteria CulturesType A

A biologist had two separate bacteria cultures. The biologist had just started Culture A with 15 bacteria. She determined that this bacteria increased by 55% each hour. Culture B bad been around for a day and contained approximately 225 bacteria. The biologist introduced a virus into Culture B which killed the bacteria. After observing for the day, she determined the virus was killing the bacteria at a rate of 35% per hour.

1. . Write an exponential growth (or decay) equation for each culture. Culture A: _________________ Culture B: _________________2. Complete the T-tables for each culture.3. Complete a graph with the data for both cultures on one graph. Label the graph

completely.4. After 5 hours, which culture has the greater population? Approximately how

many more bacteria does it contain?5. When do the two cultures have approximately the same population? Circle

when this occurs on both the tables and the graph.

6. After how many hours do you estimate Culture B will cease to exist? How did you determine this?


Algebra Problem

Basic Skills TestsType B

According to the Coalition for Literacy, many companies give basic skills tests to those applying for jobs. The following are the percentages of companies that have given basic skills tests to their job applicants from 1993 through 2002:

Year Percentage 1993 33 1994 38 1995 43

1996 45 1997 49 1999 59

2000 61 2002 65

1. . Draw a scatter plot for the data. Label the graph appropriately.

2. Draw a “best-fit” line for your graphed data. Choose and name two coordinates from this line.

3. A. Describe any pattern(s) that you may see on the graph.B. Why do you think the pattern(s) occur(s)?

4. A. Calculate the slope of your graphed line.B. Explain what the slope means in relationship to your data.

5. State the equation of your graphed line.

6. Using your equation and graph, make a reasonable prediction about what percent of companies will be giving basic skills tests four years from now.

7. How does the information in this prompt affect you now or how can it affect you in the future?


Algebra Problem

Car RentalsType A

Avis Rent-A-Car charges a daily rate of $29.00 plus $0.15 a mile.

Dropp’s Rent-A-Car charges a daily rate of $38.00 plus $0.10 a mile.

1.. Make a table comparing the costs of the two companies for one day based on the number of miles driven (use values from 0 to 300 miles).

2. Graph the data for the two companies on the same graph. Label each axis clearly and name the lines by company names.

3. Write the cost expression for each company.

4. For $40, how far could you drive with each company?

5. Using your equations, solve for the break-even point.

6. Use your break-even point to determine:• under what condition(s) you would rent from Avis.• under what condition(s) you would rent from Dropp’s.


Algebra Problem

Cellular Telephone Company Type A

The Cellular Telephone Company offers two plans:

Plan A: $0.35 per minute plus a $29 monthly service fee

Plan B: $0.27 per minute plus a $55 monthly service fee

1. Make a table comparing the costs of the two companies for one month based on the number of minutes used (use values from 0 to 500 minutes).

2. Graph the data for the two companies on the same graph. Label each axis clearly and name the lines by company names.

3. Write a cost expression for each company.

4. You talked for a half-hour every day during the month of October. Determine which plan would have been better. Explain your answer,

5. Using your equations, solve for the break-even point.

6. You have used 3 different methods of representing the plans (table of values, equations and graphs). Look at each of these methods and decide which way of representing the data for Plan A and Plan B would be most useful for each of the following people. Explain your reasoning.

Karla: I am the marketing manager. I want to show potential customers that the plan that is best for them depends on the number of minutes of air time they expect to use.

Wilfred: I work in the business office. My job is to calculate the exact charge for a customer’s bill.


Juline: I am the sales manager. Most customers want an idea of how much their monthly bill will be using the cellular phone. I like to show them, at a glance, some typical charges.

Algebra Problem

Life ExpectancyType B

Life expectancy is the average number of years that a group of people born in a particular year may expect to live.

The table below gives the life expectancy of males and females at birth in the United States from 1970 - - 2000:

Year Male Life Expectancy Female Life Expectancy1970 67.1 74.71975 66.8 76.6

1980 70.0 77.4 1965 71.1 78.2 1990 71.6 78.8 1995 72.5 78.9 2000 73.6 81.2

1.. Just by looking at the table above, who generally lives longer, males or females?

2. Draw a scatter plot for one set of data (male or female). Label the graph appropriately.

3. Draw a “best-fit” line for your graphed data. Choose and name two coordinates from this line.

4. A. Describe any pattern(s) that you see on the graph.B. Why do you think the pattern(s) occur(s)?



7. Use your graph and your equation to predict the life expectancy of a person born in the year 2005.


8. How does the information in this prompt affect you now or how will it affect you in the future?


Algebra Problem

Oil Changes and Engine RepairType B

Joe is the owner of Joe’s New Cars and has collected the following data about cars he sold last year as to the number of oil changes and cost of engine repairs needed in that year.

Joe’s Data:

Oil Changes

3

5

2

3

1

4

6

4

3

2

0

10

7

8

Repair Cost $

300 300 500 400 700 400 100 250 450 650 600 0 150 100

1. . Draw a scatter plot for the data. Label the graph appropriately.

2. Draw a “best-fit” line for your graphed data. Choose and name two coordinates from your line.

3. A. Describe any pattern(s) that you may see on the graph.B. Why do you think the pattern(s) occur(s)?



6. Using your equation, predict the cost of engine repair if the car had four oil changes.

7. How does the information in this prompt affect you now or how can it affect you in the future?

Geometry Problem

Badgers WinType D

After the University of Wisconsin-Madison Badgers won the title game, the police estimated that 40,000 people flooded State Street in downtown Madison. Barricades were placed along a 6-block section of State Street and no traffic was allowed on or across this section while the jam-packed crowd celebrated for 6 hours.

Using the data supplied below,

1. Make a scale drawing of one block of State Street with one intersection.

2. Label your scale drawing with all dimensions. Be sure to include your scale.

3. Explain how the police may have made their estimation of the crowd size. Show all your calculations.

Madison Police Data Length of a city block on State Street: 290 feet Width of State Street and all crosswalks: 30 feet Width of the sidewalks on State Street: 6 feet

At 9 P.M., a police officer estimated that there were about 54 people packed into a section of State Street measuring 10 feet by 10 feet.

Geometry Problem

Building a Garden for the BossType D

Your boss wants you to supervise the building of a decorative floral garden. He wants the entire construction to be in the form of a capital T. The dimensions of the top rectangle of the T are 14 yards by 6 yards. The dimensions of the rectangle forming the stem of the T are 6 yards by 10 yards. Around the outside of the garden he wants a fence. Outside the fence he wants a 6-foot wide concrete sidewalk. For each task below, be sure to justify your decisions mathematically. Clearly show your processes and organize your work.

1 - Make a scale drawing of the garden and the sidewalk. Be sure to include your scale. Label your scale drawing with all dimensions.

2. The gardener has informed you that he charges $14.95 per square foot for planting and maintaining a garden for one year. Find the cost of

hiring this gardener for one year.

3. For the fence, posts need to be placed 2 yards apart on all sides of the garden and a post is needed at each corner. On your scale diagram, show the placement of all the posts you will need.

4. Fencing costs $8.29 per linear foot and posts cost $3.49 each. Calculate the total cost for building the fence, including the fencing and the

posts.

5. The depth of the concrete for the sidewalk will be 4 inches. The cost of concrete, including delivery and labor, is $29.95 per cubic yard. Find the

total cost to build the sidewalk.

6. Prepare a statement for your boss itemizing the costs for building the sidewalk and fence, and for planting and maintaining the garden. Be sure to include the total cost of the garden.

Geometry Problem

Marco RoniType C

Marco Roni is making meatballs to add to his sauce. Each meatball has a 2-inchdiameter. He needs to cook them in the sauce for a while. Right now, beforethe meatballs are added, the sauce is 4 inches from the top of the 15-inchdiameter pot. The total height of the pot is 10 inches. He must have a minimumof 1 inch of free space at the top of the pot to eliminate “boil over”.

1. Draw a scale drawing of this situation. Be sure to include your scale. Label your scale drawing with all dimensions.

2. Determine how many meatballs can be added before reaching the 1 inch of free space at the top of the pot. Show all work.

3. What would the height of the pot have to be in order to cook 200 meatballs with the same amount of sauce? Show all work.

Geometry Problem

New Cans Type C

You work in the marketing department of a vegetable cannery. You are testingcustomer reaction to the new sizes of cans. The regular size can for yourvegetables is 12 cm high and has a radius of 4 cm.

1. Make a scale drawing of the following four cans. Use the same scale for all four drawings. Be sure to include your scale. Label your scale drawings with all dimensions:

• the regular size can• new can #1 which is half the radius and twice the height of the regular can• new can #2 which is twice the radius and half the height of the regular can• a jumbo can which is twice the radius and twice the height of the regular

can

2. The regular size can sells for $0.75. Determine a price for each of the other three cans based on each one’s volume and the price of the regular can. Show your work.

2. Write a memo to the company president explaining the advantages and disadvantages of each can.

Geometry Problem

On Target

Type D

The Semi-Divers, a sky-diving club, sponsored a contest to create a pattern for a new landing target to be painted on the ground. The winning pattern, shown below, was created using several semi-circles placed on the large circular target. The club must now decide how much paint of each color to purchase in order to paint the target. Use the following information to determine the amount of paint:

• the diameter of the target is 36 feet• a gallon of ground paint covers 325 square feet• two coats of paint are needed• paint is sold only in gallon-sized cans

How many gallon cans of paint of each color (red, white and blue) will the club need to buy? Show all your work.

Geometry Problem

Winning Target Design

White

Blue

Red

Radio AntennaType E

A radio antenna is to be kept perpendicular to the ground by three guide-wires. The guide-wires are to be staked at three points equally spaced around a circle with a diameter of 100 feet. The antenna base is the center point of the circle. The antenna is 130 feet tall and the guide-wires are to be located 10 feet from the top of the antenna.

1. Make a top view scale drawing showing the circle, the antenna base, and the placement of the stakes. Remember to state the scale you use on the drawing and to measure your angles accurately.

2. A safety fence is to be installed to surround the staked area. It must be 5 feet away from each of the stakes. Add this fence to your scaled drawing.

3. If fencing costs $19.95 a yard, how much will the safety fence cost?

4. Find the length of each guide-wire. Show any formulas used and all work should be labeled. 5. Write a paragraph explaining why you need three guide-wires instead of only two.

Geometry Problem

Rap Singer Type E

Oni Meter is a rap singer who lives in Miami, Florida. She is starting a fall concert tour and is planning to fly her own plane to every concert. Here is her tour schedule:

Dallas, Texas September 14-16Boston, Massachusetts September 18-20

San Diego, California September 22-25 Detroit, Michigan September 27-30 Miami, Florida October 2-8

To fly from one city to the next, Oni needs a flight angle and compass direction to direct her plane. A flight angle is formed by two lines that start in the city from which the flight takes off. One line points north and the other points to the flight’s destination. The flight angles are labeled with degree measures and a direction (east or west).

For example, to fly from Miami to Dallas for the first concert, Oni flies along a 77° West (77°W) flight angle.

1. Find the flight angles for the rest of Oni’s concert tour. Be sure to mark the angles on the map(s) provided.

2. It is a known fact that the straight line distance from Detroit to Miami is 1300 miles. Use this distance to help determine the distance from each city to the next one on the tour.

3. Assume that all flights take place with no wind factors and the average plane speed is 350 miles per hour. How long will each flight take?

4. Organize the above information into table format.

5. The kind of plane that Oni flies averages 7 gallons of flight fuel per hour. The fuel costs $2.50 per gallon. How much will the entire tour cost?

Geometry Problem

Running an Errand

Bos

ton

Mia

mi

Det

roit

Dal

las

San

Die

go

Use

this

map

to d

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ap S

inge

r

Type E

Your mother has some clothes that need to be dry-cleaned. She asks you to drop them off for her on your way to work and not to forget her favorite wool coat which is in the hall closet.

You are to choose one of the routes provided and...

1. ..determine the length of each of the streets you will travel.2. ..draw your route on the map provided. 3. ..determine the length of your route, in miles. 4. ..determine how long it will take you to complete your errand.5. ..include a paragraph explaining your process and why.

Helpful information:

• The street map of the city of Milwaukee and its surrounding areas, provided with this prompt, assumes all street intersections that appear perpendicular are perpendicular.

• There are eight north-south blocks to a mile and sixteen east-west blocks to a mile.

• It is a known fact that the posted speed is 40 mph for all diagonal streets, 35 mph for all north-south streets and 30 mph for all east-west streets.

Choose One of The Following Routes

Route #1: You leave your home on the corner of S 27th Street and Grange Avenue. Driving north along S 27th, you turn left onto Forest Home Avenue and realize you forgot your mother’s coat. As you approach Grange, you decide that you had better return home. You turn left onto Grange and arrive home. You run into the house, look in the closet, but don’t see the coat. Unknown to you, your mom noticed you forgot it and decided she’d take it herself. At this point, you are really frustrated! You decide to call in sick and stay home to relax by working on this mathematic’s problem.

Geometry Problem

Running an Errand page 2

Route #2: You leave your home on the corner of North Avenue and Pilgrim Road. Driving north along Pilgrim, you turn right onto Appleton Avenue and realize you forgot your mother’s coat. As you approach North, you decide that you had better return home. You turn right onto North and arrive home. You run into the house, look in the closet, but don’t see the coat. Unknown to you, your mom noticed you forgot it and decided she’d take it herself. At this point, you are really frustrated! You decide to call in sick and stay home to relax by working on this mathematic’s problem.

Route #3: You leave your home on the corner of Appleton Avenue and N 76th Street. Driving north along N 76th, you turn left onto Mequon Road and realize you forgot your mother’s coat. As you approach Appleton, you decide that you had better return home. You turn left onto Appleton and arrive home. You run into the house, look in the closet, but don’t see the coat. Unknown to you, your mom noticed you forgot it and decided she’d take it herself. At this point you are really frustrated! You decide to call in sick and stay home to relax by working on this mathematic’s problem.

Route #4: You leave your home on the corner of Good Hope Road and N 76th Street. Driving west along Good Hope you turn left onto Appleton Avenue and realize you forgot your mother’s coat. As you approach N 76th, you decide that you had better return home. You turn left onto N 76th and arrive home. You run into the house, look in the closet, but don’t see the coat. Unknown to you, your mom noticed you forgot it and decided she’d take it herself. At this point, you are really frustrated! You decide to call in sick and stay home to relax by working on this mathematic’s problem.

Route #5: You leave your home on the corner of 124th Street and Highway 41. Driving south along 124th, you turn left onto North Avenue and realize you forgot your mother’s coat. As you approach Hwy. 41, you decide that you had better return home. You turn left onto Hwy. 41 and arrive home. You run into the house, look in lhs closet, but don’t see the coat. Unknown to you, your mom noticed you forgot it and decided she’d take it herself. At this point, you are really frustrated! You decide to call in sick and stay home to relax by working on this mathematic’s problem.

Decision Making Problem

Choosing an Appropriate GraphType G

There are various types of graphs that can be used to represent data. Often, one type of graph is the best way to present a certain type of data. Some types of graphs are inappropriate for certain types of data.

Using your knowledge of pie graphs, histograms (bar graphs), and line plots, read the three situations below and do the following for each:

1. Read the situation and complete the data tables.2. Decide what type of graph would be appropriate for the type of data and write a mathematical justification for your choice. You can only choose a graph type once.

3. Create an accurately scaled graph of the type you chose to represent the data. This should not be a sketch, but well constructed and labeled to reflect the data.

Situation A: In her Consumer Marketing class, Mabel learned that there are mathematical methods for predicting the future. Often, the United States Census is used as a basis for making future predictions. She learned that various regions of the nation have different population growth rates. For instance, the Northeast region of the country is expected to grow by 2% in the next five years, as shown in the data table below.

Region Population Now Expected Rate Expected Population in Millions of Change in 5 years Northeast 41.1 2% increase 41.9 South 11% increase 83.9

West 43.2 48.7

Midwest 59.5 3% decrease

What type of graph would make this data easiest to compare? Why?


Choosing an Appropriate Graph page 2

Situation B: Mark works at a sales job; he earns a 15% commission on all of his

sales each week. Andrea also has a sales job. She earns a salary of $125 per week plus a 2% commission on all of her sales for the week. Mark wants to know how many dollars in sales he must make in a week to earn more money than Andrea. He starts to fill out a data table below.

Dollars in Sales Andrea’s Mark’s in a Week Earnings Earnings

$500 $75 _________ ________

$1000 $145

What type of graph would help Mark find the amount of sales he needs faster than continuing his table? Why?

Situation C: Mario and LaRhonda did a survey of students for their math project.They asked 30 randomly selected students what type of music they liked the best.The table below shows the results of their survey.

Type of Music Tally Frequency Percent

Hard Rock 3 10 %

Rhythm & Blues 6 Rap

Pop Rock 12

What type of graph should they use to represent their data on their report? Why?


Comparing Prices

Type F_____________________

Cent The Shoe Shack This week only

Buy one pair of shoes and the second pair at half-price!!

Clodhopper’s Shoe Store This week only

Join us for our Graduated Sale

Buy one pair of shoes and get 1st Pair $4.00 off regular pricethe second pair at half-price!! 2nd Pair $5.00 off regular price 3rd Pair $6.00 off regular price 4th Pair $7.00 off regular price

1. Read the three ads above. Without doing any math, decide which store you think would offer the best deal for buying shoes. Explain why you made your choice.

2. Mrs. Davis needs to buy athletic shoes for each of her three children. Which store offers the lower total cost it the shoes retail for $27.95 a pair? Show all work and explain your decision.

3. If you were not limited to buying from one store, find a combination of stores that would give you a lower cost. Show your work.

4. Keeping the cost of $27.95 a pair constant, make a table comparing the three stores for purchases of 1 to 10 pairs of shoes. Show how you calculated the values in your table. Determine when each store offers the best total price.

5. Look back at your answer to #1. Do you agree or disagree with that answer? Explain your response.


Dawn’s Basement ProblemType C

Dawn has a problem in her basement. A faucet was left running and water is all over the place. She has turned off the faucet, but there are 15 inches of water covering the basement floor. Dawn wants to pump out her basement in four hours or less.

Family Shoe Center Annual Sale this Week!

Shoes 20% off regular price

FACTS DAWN MAY NEED:• The basement is a rectangle 24 feet by 60 feet.• The depth of the water is 15 inches.• 1 cubic foot = 7.48 gallons• You have only four hours to pump before Dawn’s parents return!

• The pumps you have to choose from are:

Pit Bull Pump Pump Master Plumber’s Friend pumps 4100 gal/hr pumps 3200 gal/hr pumps 60 gal/min $162.99 $74.99 $98.49

1 . Show all of the work to find the volume of the water flooding the basement floor.

2. Show all of the work to convert cubic feet to gallons.

3. Calculate the exact time it will take for each of the three sump pumps listed above to pump the water out of the basement.

4. Dawn wants to pump out the water in four hours or less. It you were Dawn, which of these pumps would you buy to get the job done? Use mathematics to justify your decision.

5. Your friend brings over his Pit Bull pump to help you. How quickly can you pump out the water using both pumps?


Should I Join a CD Club? Type A

Every Sunday I see the advertisement in the newspaper about a great CD club that will give me 12 CD’s for only 1 cent. I sometimes spend $15.49 for only one CD. Maybe it’s time for me to join the club. I’ll have to read the ad carefully and examine my choices carefully.

12 CDs for only 1cent

• Order 12 CDs for only 1cent, pIus $1.99 enrollment charge.

(A shipping and handling fee of $4.29 will be added to each CD)

• All you need to do is buy as few as nine CD’s, at regular club prices, in the next year. You are free to cancel your membership at any time after buying your nine CDs. Regular club prices average $15.49,

plus shipping and handling. (Shipping and handling is $4.29 per CD)

• Our club has all new releases two weeks before they are available in any store.

• You will receive your order in seven days.

I can buy all my CDs for $14.95 each at my usual store. I must decide whether Ishould join the club or not.

1. One factor to consider is cost. Calculate the total cost of ordering the fewest number of CDs necessary as a club member. Show your work.

2. Calculate the total cost of the same number of CDs at your usual store. (Remember, add 5.6% sales tax to the store purchases). Show your work.

3. After purchasing how many CDs, is the store cheaper than the club?

4. Will you join the club? Explain what factors you considered in making your choice.


Swimming Pool Fun Type D

Your community has set aside a rectangular area 280 ft by 200 ft to use for a water theme park. Your community board wants the park to be fenced in and have the following:

• A circular wading pool for small children (label it pool A)• A rectangular lap pool (Label it pool B)• An L-shaped pool (label it pool C)• A pool with an appealing shape that has a semi-circular region as well as a

rectangular region (label it pool D)

• A 300 ft2 concession stand• A 2400 ft2 shower area

At least 50% of the park’s area must be water.

All of the pools, the concession stand and the shower area must be at least 10 feet from the outer fence.

All of the pools, the concession stand and the shower area must be shown on your drawing including the entrance.

1. Make a scaled drawing of your park on graph paper. Use the scale: I square = 100 square feet.

2. Provide the dimensions and areas of all pools, the concession stand and the shower area.

3. You must recommend one of these two contractors for the fencing: •All Purpose Fencing charges $7.65 per yard of fencing plus $3.00 per post and will require a post every five feet. •We Fence Anything charges $8.65 per yard of fencing, which includes the posts.

Calculate the cost for each contractor before making your recommendation.


To Drive or FlyType F

You need to decide how to get to two job interviews. One interview is in Philadelphia on Tuesday. The other interview is two days later in Washington, D.C.. You will need to calculate the cost of this trip in three different ways by using the types of transportation and lodging available to you. At least one of your trips must include driving your car the entire trip, and all of your trips must begin and end at home.For each of the three options, show the mathematics you used and clearly indicate the final cost. Put this information in chart form. The first column of your chart should be labeled “Day of the Week”. DO NOT write this part in paragraph form.

FACTS and FIGURES you will needAirfares: one way round trip

Milwaukee to/from Philadelphia $285 $489Milwaukee to/from Washington, D.C. $215 $415Philadelphia to/from Washington, D.C. $185 $315

Distances:Milwaukee to Philadelphia 865 miles (2 days of driving)Milwaukee to Washington, D.C. 800 miles (2 days of driving)Washington, D.C. to Philadelphia 140 miles

Gasoline averages $1.69 per gallon.

Your car averages 35 miles per gallon.

A rental car costs $38 per day plus gasoline (averages 22 miles per gallon).

For intra-city mileage, clearly state how many miles you plan to drive and for what purpose.

Each intra-city taxi fare is $15 per trip.

Motels average $90.00 per night (you must stay at a motel if out of town).

Write a concluding paragraph listing the total cost of each option. State which option you would choose and why.

Create a Survey ProjectYou may choose one of the following topics below or come up with one of your own that must be approved by your teacher.

Breakfast Lunch Dinner TeachersTardiness Skipping School Junk Food Video GamesAttendance Behavior Rumors Extra HelpAttitude Basketball Disrespect FightingJobs Relationships Parents’ Rules CollegeComputers Coaches Homework TelephonesSports Grading Policies After School Activities Family

1. IntroductionWrite an introductory paragraph prior to administering your survey. In your introductory paragraph state the following:

• The topic you chose• The purpose of your survey• Who you are going to survey (your sample population)• At least two predictions

This must be approved by your teacher before the survey can be given. Type your introduction before starting your survey.

2. Survey QuestionsCreate a survey that includes 5 questions that are related to your topic.Your questions should be about your topic and should address yourintroduction. Follow these guidelines when writing them:

• Your questions should be written in multiple choice format.• None of your questions may have only two possible answers.

Example: Which do you prefer, Coke or Pepsi?• Your questions should not exclude part of the sample population.

Have your questions approved by your teacher before conducting your survey.

3. Administer SurveyAdminister your survey to at least 60 people. Be sure that your sample population can relate to your topic.

Survey Project page 2

4. Frequency TablesYou must now take the results of your survey and create a frequency table for each question.

5. GraphIng ResultsGraph the result of each question separately. Follow these guidelines:

• You must have at least one picture graph.• You must have at least one bar graph.• You must have at least one circle (pie) graph.• Each graph must have a scale, labels and a title.• When making a circle graph, the calculations for finding the degrees must

be shown.• When making a picture graph use only one picture for your key. There

should be one row of pictures, evenly spaced, for each answer. Your key picture must represent more than one response.

6. Analysis The analysis should refer back to your introduction. It should not just repeat the data. It should answer questions like:

• Were your results what you thought they would be?• Did anything in your findings surprise you?• What do you know now that you didn’t know before?• Why did you ask the questions you did?• What would you do differently next time?• What recommendations could you make, and to whom, based on your

results?

Type your conclusion after having it approved by your teacher.

Survey Project Introduction

Write an introductory paragraph prior to administering your survey. In your introductory paragraph state the following:

• The topic you chose• The purpose of your survey -

• Who you are going to survey (your sample population)• At least two predictions

This must be approved by your teacher before the survey can be given. Type your introduction before starting your survey.

Write the ROUGH DRAFT of your introduction below:

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

Type your introduction before starting your survey.

Survey ProjectQuestions

Create a survey that includes 5 questions that are related to your topic. Your questions should be about your topic and should address your introduction. Follow these guidelines when writing them:

• Your questions should be written in multiple choice format• Each question must have three or more answers• Your questions should not exclude part of the sample population

Have your questions approved by your teacher before giving your survey.

Write your questions on the lines below:___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

___________________________________________________________________

Administer your survey to at east 60 people. Be sure that your sample population can relate to your topic.

Survey Project

Frequency TablesYou must now take the results of your survey and create a frequencytable for each question.

Here is an example of what a frequency table should look like:

Question: Which problem on the proficiency test did you like best?A. Problem IB. Problem 2C. Problem 3D. Problem 4

Answer Tallies Frequency

Problem 1 IIll llll lll 13

Problem 2 llll llll llll llll 20

Problem 3 IIIl llll llll llll llll lll 28

Problem 4 llII llll llll 14______________________________________

Total 75

You may do all of your frequency tables on one sheet of paper, or you may do each frequency table on the same sheet of paper as your graph. It is your choice.

Survey ProjectGraphs

Graph the result of each question separately. Follow these guidelines:• You must have at least one picture graph.

• You must have at least one bar graph.• You must have at least one circle (pie) graph.• Each graph must have a scale, labels and a title.• When making a circle graph, the calculations for finding the degrees must be shown.• When making a picture graph use only one picture for your key. There

should be one row of pictures, evenly spaced, for each answer. Your key picture must represent more than one response.

Here are some hints to help you be successful.

Making a Picture GraphSelect a picture that goes with the question. For example, if your survey was about basketball, you could use a basketball for your picture.

You can draw these pictures on your own or you can use a font like METRO to type the pictures.

If your question was about hot, spicy food, you could make a picture graph like this:

Spicy Foods

Very Hot:

Hot: Key: = 4 votes

Mild:

Partial pictures represent values less than the key states. There should be one row of pictures for each answer.

Survey Project - Graphs page 2

Making a Bar GraphImportant points when making a bar graph:

• Make sure that you use graph paper.• Make sure that your scale is accurate.• Make sure that your “hash” marks are evenly spaced.

• Make sure that all of your bars are the same width and the same distance apart.

• Make sure that you include a scale, labels and a title.

Making a Circle GraphWhen making a circle graph be sure to show how you calculated your degrees.

Survey ProjectAnalysis

The analysis should refer back to your introduction. It should not just repeat the data. It should answer questions like:

• Were your results what you thought they would be?• Did anything in your findings surprise you?• What do you know now that you didn’t know before?• Why did you ask the questions you did?• What would you do differently next time?

• What recommendations could you make, and to whom, based on your results?

Write the ROUGH DRAFT of your analysis below:

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Type your conclusion after having it approved by your teacher.

1/4” Graph Paper - full sheet

1 cm Graph Paper - . full sheet

1 cm Graph Paper - - half sheet

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